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Finding the Fourth Proportional to 938.15, 1,406.20 and 389.98

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Solution

The fourth proportional to 938.15, 1,406.20 and 389.98 is: 584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.15 : 1,406.20 = 389.98 : x
  2. Step 2: Convert to fraction form
    938.15/1,406.20 = 389.98/x
  3. Step 3: Cross multiply
    938.15x = 1,406.20 × 389.98
  4. Step 4: Simplify right side
    938.15x = 548,389.88
  5. Step 5: Solve for x
    x = 548,389.88/938.15
  6. Step 6: Final answer
    x = 584.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.